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Finding the Third Proportional to 54,004 and 72,701

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Solution

The third proportional to 54,004 and 72,701 is: 97,871.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,004 : 72,701 = 72,701 : x
  2. Step 2: Convert to fraction form
    54,004/72,701 = 72,701/x
  3. Step 3: Cross multiply
    54,004x = 72,701 × 72,701
  4. Step 4: Simplify right side
    54,004x = 5,285,435,401
  5. Step 5: Solve for x
    x = 5,285,435,401/54,004
  6. Step 6: Final answer
    x = 97,871.18

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.